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rusak2 [61]
3 years ago
13

What number best completes both equations? 5/7÷1/3=? ?×1/3=5/7

Mathematics
1 answer:
Nat2105 [25]3 years ago
6 0

Consider the given equations:

The first equation is as:

\frac{5}{7} \div \frac{1}{3} = ?

So, \frac{5}{7} \div \frac{1}{3}

= \frac{5}{7} \times \frac{3}{1}

Multiplying the given fractions, we get as

= \frac{15}{7}

Now, consider the second equation as:

? \times \frac{1}{3} = \frac{5}{7}

Multiplying by '3' to both the sides of the equation, we get

? \times \frac{1}{3} \times 3 = 3 \times \frac{5}{7}

? = \frac{15}{7}

So, the number which best completes both the equations is \frac{15}{7}.

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Find the measure of
Sonbull [250]

Answer: 77°

Step-by-step explanation:

First we are going to find x and then insert it in 18x +5 to be able to get our <WZX

But to find x, we will have to apply the the exterior angle theorem

The exterior angle theorem state that : the exterior angle is equal to the sum of the two opposite interior anges

Using this theorem, then from the diagram above ;

18x + 5 = 48 + 8x - 3

we collect like term

18x - 8x = 48-3-5

10x = 40

Divide bothside by 10

10x/10 = 40/10

x = 4

but <WZX = 18x + 5

Then we substitute x=4

<WZX = 18(4) + 5

<WZX = 72 +5

<WZX =77

Therefore the measure of <WZX is 77°

8 0
3 years ago
Sum of exterior angles in a equilateral triangle
poizon [28]

Answer:

In the case of the equilateral triangle, , the exterior angle, plus 60 equals 180. Subtracting 60 from both sides of this equation gives us a value of equal to 120. This means that the exterior angle of an equilateral triangle is equal to 120 degrees. The sum of all the exterior angles is always 360 degrees.

Step-by-step explanation:

8 0
3 years ago
Amy's yearly salary is given by the equation y = 25,000 + 700x, where x is the number of years since 2007 and y is her salary in
yanalaym [24]
2007 would be 0 years since 2007

y=25000+700(0)
y=25000

Answer: Her yearly salary in 2007 was $25,000

Hope this helps:)
3 0
3 years ago
What point is a solution to y&gt; 2x -1<br><br> A.(0,2)<br> B.(4,2)<br> C.(0,-10)<br> D.(4,1)
Tom [10]

Well, we need to consider the x and y coordinates of the giben points, and check wether the y coordinate is greater than twice the x coordinate minus 1 (i.e. 2x-1):

  • For the first point, the x coordinate is 0. So, 2x-1 = -1. The y coordinate is 2, and 2>-1. So, this point is a solution.
  • For the second point, the x coordinate is 4. So, 2x-1 = 7. The y coordinate is 2, and 2<7. So, this point is not a solution.
  • For the third point, the x coordinate is 0. So, 2x-1 = -1. The y coordinate is -10, and -10<-1. So, this point is not a solution.
  • For the fourth point, the x coordinate is 4. So, 2x-1 = 7. The y coordinate is 1, and 1<7. So, this point is not a solution.
4 0
2 years ago
HELP ASAP 15 POINTS!!!<br> What is the solution to this equation?<br> 6(x-5)=4x+20
Andre45 [30]

Answer:

<h2><u><em>x = 25</em></u></h2>

Step-by-step explanation:

What is the solution to this equation?

6 * (x - 5) = 4x + 20

6x - 30 = 4x + 20

2x = 20 + 30

2x = 50

x = 50 : 2

x = 25

-------------------

check

6 * ( 25 - 5) = 4 * 25 + 20

6 * 20 = 100 + 20

120 = 120

the answer is good

3 0
2 years ago
Read 2 more answers
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